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Finding the Fourth Proportional to 14,980.92, 20,673.64 and 8,266.96

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Solution

The fourth proportional to 14,980.92, 20,673.64 and 8,266.96 is: 11,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.92 : 20,673.64 = 8,266.96 : x
  2. Step 2: Convert to fraction form
    14,980.92/20,673.64 = 8,266.96/x
  3. Step 3: Cross multiply
    14,980.92x = 20,673.64 × 8,266.96
  4. Step 4: Simplify right side
    14,980.92x = 170,908,154.93
  5. Step 5: Solve for x
    x = 170,908,154.93/14,980.92
  6. Step 6: Final answer
    x = 11,408.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.